Nonlocal noise cross-correlation mediated by entangled Majorana fermions

Abstract

Due to their nonlocality, qubits nested in Majorana bound states may be the key to realize decoherence-free quantum computation. Majorana bound states could be achieved at the ends of a one-dimensional topological superconductor. However, when the bound states couple directly to electron reservoirs their nonlocal correlation is quenched by local Andreev reflections. Here we propose a scheme to generate nonlocal noise cross correlation between two well-separated quantum dots, mediated by a pair of Majorana bound states. Both positive and negative cross correlations can be obtained by tuning the gate voltages applied to the dots. Within a limited range of finite temperatures, the cross correlation is not suppressed by thermal fluctuations. Furthermore, we show how the local Andreev reflections suppress the noise cross correlation when multiple dot energy levels are coupled to the Majorana bound states. The measurable cross correlation is expected to serve as a sensitive indicator for the generation of Majorana fermions.

8 pages, 5 figures

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• Finite-frequency noise in a topological superconducting wire
• Interaction-Induced Renormalization of Tunneling into Multiple Majorana End States of a Topological Superconducting Wire
• Revisit the non-locality of Majorana zero modes and teleportation: Bogoliubov-de Gennes equation based treatment
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• Transport in a hybrid normal-topological superconductor Kondo model
• Transconductance as a probe of nonlocality of Majorana fermions
• Fano interference and a slight fluctuation of the Majorana hallmark
• Extracting entangled qubits from Majorana fermions in quantum dot chains through the measurement of parity
• Thermoelectric transport through a finite-$U$ quantum dot side-coupled to Majorana bound state
• Phonon-Assisted Tunneling through Quantum Dot Systems Connected to Majorana Bound States
• Quantum charge pumping through Majorana bound states
• Probing nonlocality of Majorana fermions in Josephson junctions of Kitaev chains connected to normal metal leads
• Photonic cross-noise spectroscopy of Majorana bound states
• Current precision in interacting hybrid Normal-Superconducting systems
• Finite-frequency noise, Fano factor, $\Delta T$-noise and cross-correlations in double quantum dots
• Auto- and cross-correlations in the spinful topological Kondo model
• Cross-correlation mediated by Majorana island with finite charging energy
• Majorana Conductances in Three-Terminal Transports